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Finding the Fourth Proportional to 381,055.68, 571,583.77 and 96,767.55

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Solution

The fourth proportional to 381,055.68, 571,583.77 and 96,767.55 is: 145,151.39

Step by Step Solution

  1. Step 1: Write the proportion equation
    381,055.68 : 571,583.77 = 96,767.55 : x
  2. Step 2: Convert to fraction form
    381,055.68/571,583.77 = 96,767.55/x
  3. Step 3: Cross multiply
    381,055.68x = 571,583.77 × 96,767.55
  4. Step 4: Simplify right side
    381,055.68x = 55,310,761,042.66
  5. Step 5: Solve for x
    x = 55,310,761,042.66/381,055.68
  6. Step 6: Final answer
    x = 145,151.39

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.